The KP hierarchy reduction method is one of the most reliable and efficient techniques for determining exact solitary wave solutions to nonlinear partial differential equations. In this paper, according technique, rational some other semi-rational (2 + 1)-dimensional Maccari system are investigated. It shown that two different types breathers can be derived, under appropriate parameter constrai...

In this work, by using the Hirota bilinear method, we obtain one- and two-soliton solutions of integrable $(2+1)$-dimensional $3$-component Maccari system which is used as a model describing isolated waves localized in very small part space related to well-known systems like nonlinear Schr\"{o}dinger, Fokas, long wave resonance systems. We represent all local Ablowitz-Musslimani type nonlocal r...

Citation: Rosenberg JM, Maccari ME, Barzaghi F, Allenspach EJ, Pignata C, Weber G, Torgerson TR, Utz PJ and Bacchetta R (2018) Neutralizing Anti-Cytokine Autoantibodies Against Interferon-α in Immunodysregulation Polyendocrinopathy Enteropathy X-Linked. Front. Immunol. 9:544. doi: 10.3389/fimmu.2018.00544 Jacob M. Rosenberg1,2*, Maria E. Maccari3, Federica Barzaghi4, Eric J. Allenspach5, Claudi...

In this scientific research article, the new Kudryashov method and tanh-coth method, which have not been applied before, are employed to construct analytical soliton solutions of (2+1)-dimensional Hirota–Maccari system. The system is a special kind nonlinear Schrödinger equation (NLSEs) that models motion isolated waves localized in small part space, used such various fields as fiber optics tel...

Using a traveling wave reduction technique, we have shown that Maccari equation, (2?1)-dimensional nonlinear Schrödinger equation, medium equal width equation, (3?1)-dimensional modified KdV–Zakharov– Kuznetsev equation, (2?1)-dimensional long wave-short wave resonance interaction equation, perturbed nonlinear Schrödinger equation can be reduced to the same family of auxiliary elliptic-like equ...